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Generic interacting many-body quantum systems are believed to behave as classical fluids on long time and length scales. Due to rapid progress in growing exceptionally pure crystals, we are now able to experimentally observe this collective…

Strongly Correlated Electrons · Physics 2018-01-08 Andrew Lucas , Kin Chung Fong

We examine nonlinear transport in a viscous two-dimensional electron fluid within narrow GaAs channels. The differential magnetoresistance shows nonmonotonic behavior, a signature of electron pairing in the hydrodynamic regime. Theoretical…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 A. D. Levin , G. M. Gusev , A. K. Bakarov

In high-quality conductors, the hydrodynamic regime of electron transport has been recently realized. In this work we theoretically investigate magnetotransport of a viscous electron fluid in samples with electron-impermeable obstacles. We…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 P. S. Alekseev , A. P. Dmitriev

Two different methods of \emph{metrological} accuracy are proposed to determine the mobility and viscosity of ultra clean two-dimensional electron liquids. The experimental data analysis is based on the Gurzhi hydrodynamic model under…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 M. V. Cheremisin , M. A. Zudov

We determine the shear viscosity and the dc electrical conductivity of interacting three-dimensional Luttinger semimetals, which have a quadratic band touching point in the energy spectrum, in the hydrodynamic regime. It is well-known that…

Strongly Correlated Electrons · Physics 2020-03-30 Julia M. Link , Igor F. Herbut

Materials with strongly-correlated electrons exhibit interesting phenomena such as metal-insulator transitions and high-temperature superconductivity. In stark contrast to ordinary metals, electron transport in these materials is thought to…

Strongly Correlated Electrons · Physics 2019-11-19 J. Gooth , F. Menges , C. Shekhar , V. Süß , N. Kumar , Y. Sun , U. Drechsler , R. Zierold , C. Felser , B. Gotsmann

The ``flow'' of electric currents and heat in standard metals is diffusive with electronic motion randomized by impurities. However, for ultraclean metals, electrons can flow like water with their flow being described by the equations of…

Strongly Correlated Electrons · Physics 2023-03-28 Lars Fritz , Thomas Scaffidi

We investigate the transition between elastic and viscous regimes for time-reversal broken Weyl semimetals. In these materials, Hall transport occurs through two parallel channels: the Fermi sea and the Fermi surface. The Fermi sea part…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Yonatan Messica , Alex Levchenko , Dmitri B. Gutman

Clean two-dimensional Fermi liquids are now known to exhibit an intermediate \emph{tomographic} regime, between ballistic and Navier--Stokes transport, caused by the anomalously slow relaxation of parity-odd multipolar deformations of the…

Strongly Correlated Electrons · Physics 2026-03-30 Davis Thuillier , Thomas Scaffidi

Linear temperature dependence of transport coefficients in metals is often ascribed to non-Fermi-liquid physics. Here we demonstrate the $T$-linear behavior of nonlocal conductivity in a clean 2D electron fluid, where carrier collisions…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 Serhii Kryhin , Qiantan Hong , Leonid Levitov

Electrons in quantum matter behave like a fluid when the quantum-mechanical carrier-carrier scattering dominates over other relaxation mechanisms. By combining a microscopic treatment of electron-electron interactions within the random…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Indra Yudhistira , Ramal Afrose , Shaffique Adam

The pursuit for clearly identifiable signatures of viscous electron flow in the solid state systems has been a paramount task in the search of the hydrodynamic electron transport behavior. In this work, we investigate theoretically the…

Mesoscale and Nanoscale Physics · Physics 2022-06-14 Songci Li , Alex Levchenko

Hydrodynamics is a general description for the flow of a fluid, and is expected to hold even for fundamental particles such as electrons when inter-particle interactions dominate. While various aspects of electron hydrodynamics were…

In sufficiently clean materials where electron-electron interactions are strong compared to momentum-relaxing scattering processes, electron transport resembles the flow of a viscous fluid. We study hydrodynamic electron transport across…

Mesoscale and Nanoscale Physics · Physics 2025-01-13 Ramal Afrose , Aydin Cem Keser , Oleg Sushkov , Shaffique Adam

Two collective properties distinguishing the thin liquid water vapour interface from the bulk liquid are the anisotropy of the pressure tensor giving rise to surface tension and the orientational alignment of the molecules leading to a…

Soft Condensed Matter · Physics 2020-02-03 Chao Zhang , Michiel Sprik

We consider the description of a Fermi gas of free electrons given by the Boltzmann--Fermi--Dirac equation, and aim at providing a precise mathematical understanding of the Fermi ground state and its first-order approximation of excited…

Analysis of PDEs · Mathematics 2025-10-14 Benjamin Anwasia , Diogo Arsénio

We develop a theory of magnetoresistance of two-dimensional electron systems in a smooth disorder potential in the hydrodynamic regime. Our theory applies to two-dimensional semiconductor structures with strongly correlated carriers when…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 Alex Levchenko , Hong-Yi Xie , A. V. Andreev

We develop the theory of hydrodynamics of an isotropic Fermi liquid of electrons coupled to isotropic acoustic phonons, assuming that umklapp processes may be neglected. At low temperatures, the fluid is approximately Galilean invariant; at…

Strongly Correlated Electrons · Physics 2021-07-15 Xiaoyang Huang , Andrew Lucas

The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. One such material, graphene, is not only an excellent platform for the experimental realization of the…

Mesoscale and Nanoscale Physics · Physics 2022-07-21 Boris N. Narozhny

Using a hydrodynamic approach, we show that charge diffusion in two dimensional Coulomb interacting liquids with broken momentum conservation is intrinsically anomalous. The charge relaxation is governed by an overdamped, superdiffusive…

Strongly Correlated Electrons · Physics 2021-06-16 Egor I. Kiselev